Geodesic
An inequality for the weighted Hardy operator for $0$
Eurasian mathematical journal, Tome 4 (2013) no. 3, pp. 127-131.

Voir la notice de l'article provenant de la source Math-Net.Ru

A Hardy-type inequality for $0$ with sharp constant is established in [7], [4]. The aim of this work is to extend this inequality for the weighted Hardy operator. 
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N. Azzouz; B. Halim; A. Senouci. An inequality for the weighted Hardy operator for $0

[1] J. Bergh, V. Burenkov, L.-E. Persson, “Best constants in reversed Hardy's inequalities for quasi monotone functions”, Acta Sci. Math. (Szeged), 59:1–2 (1994), 221–239 | MR | Zbl

[2] J. Bergh, V. Burenkov, L.-E. Persson, “On some sharp reversed H?older and Hardy-type inequalities”, Math. Nachr., 169 (1994), 19–29 | DOI | MR | Zbl

[3] V. I. Burenkov, “On the exact constant in the Hardy inequality with $0

1$ for monotone functions”, Proc. Steklov Inst. Mat., 194, 1993, 59–63 | MR | Zbl

[4] V. I. Burenkov, A. Senouci, T. V. Tararykova, “Hardy-type inequality for $0

1$ and hypodecreasing functions”, Eurasian Math. J., 1:3 (2010), 27–42 | MR | Zbl

[5] V. I. Burenkov, Function spaces. Main integral inequalities related to $L_p$-spaces, Peoples' Friendship University, Moscow, 1989, 96 pp. (in Russian)

[6] N. Kaiblinger, L. Maligranda, L.-E. Persson, “Norms in weighted $L_2$-spaces and Hardy operators”, Function Spaces, Lecture Notes in Pure and Appl. Math., 213, Dekker, New York, 2000, 205–216 | MR | Zbl

[7] A. Senouci, T. V. Tararykova, “Hardy-type inequality with $0

1$”, Evraziiskii Matematicheskii Zhurnal, 2 (2007), 112–116